81 citations · 438 across the 34 of their papers we have counts for
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gr-qc2013
Weak null singularities in general relativity
Jonathan Luk
We construct a class of spacetimes (without symmetry assumptions) satisfying the vacuum Einstein equations with singular boundaries on two null hypersurfaces intersecting in the fu…
gr-qc2013★ 42 cited
A fully anisotropic mechanism for formation of trapped surfaces in vacuum
Sergiu Klainerman, Jonathan Luk, Igor Rodnianski
We present a new, fully anisotropic, criterion for formation of trapped surfaces in vacuum. More precisely we provide conditions on null data, concentrated in a neighborhood of a s…
gr-qc2013
Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations
Jonathan Luk, Igor Rodnianski
In this paper, we study the problem of the nonlinear interaction of impulsive gravitational waves for the Einstein vacuum equations. The problem is studied in the context of a char…